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Finding the Fourth Proportional to 6,854.80, 9,459.84 and 3,870.76

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Solution

The fourth proportional to 6,854.80, 9,459.84 and 3,870.76 is: 5,341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.80 : 9,459.84 = 3,870.76 : x
  2. Step 2: Convert to fraction form
    6,854.80/9,459.84 = 3,870.76/x
  3. Step 3: Cross multiply
    6,854.80x = 9,459.84 × 3,870.76
  4. Step 4: Simplify right side
    6,854.80x = 36,616,770.28
  5. Step 5: Solve for x
    x = 36,616,770.28/6,854.80
  6. Step 6: Final answer
    x = 5,341.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.